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71478132 = 223111753601
BaseRepresentation
bin1000100001010…
…10101101110100
311222111110120020
410100222231310
5121244300012
611032005140
71525361025
oct420525564
9158443506
1071478132
1137390640
121bb307b0
1311a6856b
1496c8c4c
15641da8c
hex442ab74

71478132 has 96 divisors (see below), whose sum is σ = 196608384. Its totient is φ = 19968000.

The previous prime is 71478107. The next prime is 71478137. The reversal of 71478132 is 23187417.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 71478093 and 71478102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71478137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118632 + ... + 119232.

It is an arithmetic number, because the mean of its divisors is an integer number (2048004).

Almost surely, 271478132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71478132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98304192).

71478132 is an abundant number, since it is smaller than the sum of its proper divisors (125130252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71478132 is a wasteful number, since it uses less digits than its factorization.

71478132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 687 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 71478132 is about 8454.4740818102. The cubic root of 71478132 is about 415.0092067440.

The spelling of 71478132 in words is "seventy-one million, four hundred seventy-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 53 66 68 102 106 132 159 187 204 212 318 374 561 583 601 636 748 901 1122 1166 1202 1749 1802 1803 2244 2332 2404 2703 3498 3604 3606 5406 6611 6996 7212 9911 10217 10812 13222 19822 19833 20434 26444 29733 30651 31853 39644 39666 40868 59466 61302 63706 79332 95559 112387 118932 122604 127412 191118 224774 337161 350383 382236 449548 541501 674322 700766 1051149 1083002 1348644 1401532 1624503 2102298 2166004 3249006 4204596 5956511 6498012 11913022 17869533 23826044 35739066 71478132